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Let U={a, b, c, d, e, f, g}, A={a, b, f, g}, B={c, d, e}, C={a, g}, and D={a, b, c, d, e, f}. Use the roster method to write each of the following sets. A'

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Answered 2 years ago
Answered 2 years ago
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Recall that: AA' represents the complement of set AA which is the set of all elements in the universal set that are not in AA.

In this case, set AA' contains all the elements of set UU that are not in set AA. Since set AA contains a, b, f, and g, then AA’ does not contain these elements:

{ab, c, d, e, fg}\{\text{\textcolor{#c34632}{a}, \textcolor{#c34632}{b}, c, d, e, \textcolor{#c34632}{f}, \textcolor{#c34632}{g}}\}

Hence,

A={c, d, e}A'=\{\text{c, d, e}\}

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